A sample of bacteria is growing at an hourly rate of 6% according to the continuous exponential growth function. The sample began with 5 bacteria. How many bacteria will be in the sample after 22 hours.

Answers

Answer 1

Answer:

18 bacteria

Step-by-step explanation:

The formula for Exponential growth is given as:

y = a (1 + r)^t

a = Initial sample size = 5

y = Sample size after time t

r = Growth rate = 6% = 0.06

t = Time in hours = 22

Hence,

y = 5 (1 + 0.06)²²

y = 5 × 3.6035374165783565

y =18.017687083 bacteria

Approximately = 18 bacteria

Therefore, there would be 18 bacteria in the sample after 22 hours


Related Questions

please don't give me downloaded answer on WinZip, it doesn't work on my device. need help with area and perimetre

Answers

Answer:

Perimeter = 64m

Step-by-step explanation:

I can only help for Perimeter.

12+20+12+8+8+4=64m

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

Answers

Answer:

6:5

Step-by-step explanation:

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

The algae is spherical in nature

Volume of the algae =4/3 pi r³

Volume of the algae = 4/3×pi×2.5³

Volume of the algae = 62.5/3 pi

Surface area = 4pi r²

Surface area = 4pi ×2.5²

Surface area = 25pi

Taking their ratio

surface area : volume ratio

= 25pi:62.5/3 pi

= 25 × 3/62.5

= 1.2

Hence the required ratio is 12/10 which is 6:5

A spinner with two equal sectors is spun 5 times.

What is the number of possible outcomes?

Answer: 32
Explanation: 2^5

Answers

Answer:

There are 32 outcomes that are possible

Step-by-step explanation:

The 4th ans pls anyone?

Answers

Answer:

associative property of multiplication

Step-by-step explanation:

I hope this helps you :)

This number is greater than 1 and both the square of an integer and the cube of an integer? What is the number?

Answers

Answer:

64

8² = 64

4³ = 64

Find the area of the regular polygon with the given radius or apothem.Shape is a hexagon with 4cm inside

Answers

Answer:

55.43cm^2

Step-by-step explanation:

Area of a hexagon given the apothem =  1/2 x perimeter x apothem

apothem = 4cm

To find the perimeter, take the following steps

4 = x√3

x = 4/√3

Multiply by 2

8√3

Since a hexagon has 6 equal sides, multiply by 6

Perimeter = 48√3

Area = (1/2) x  48√3 x 4 = 55.43cm^2

A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?

Answers

Answer:

PE = 102.9 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8 m/s^2)(1.5 m)

= 102.9 Joules

1/5 + 1/6 in fraction formm

Answers

11/30 because you do it yeah totally

a gping out if bisinuess sale has the entire store marked 80./. off

Answers

Answer:

huh- So lemme get this straight if a dollar tree (where I live) goes out of business I can buy it for like 20 cents??? AWESOME. I'll do that.

Step-by-step explanation:

please help me do it I only have 3 min

Answers

Answer:

1 A. 1080°

1 B. 142°, 74°,74°, 125°, 125°

Step-by-step explanation:

1A.

The sum of the measure of the interior angle of a convex octagon is given as

S = (n-2)180°................. Equation 1

Where n = 8 sides

S = (8-2)180°

S = 6×180°

S = 1080°

1B.

The sum of the angle of a convex pentagon is given as

S = (5-2)180°

S = 3×180°

S = 540°

From the diagram,

2x+142+2x+(3x+14)+(3x+14) = 540

10x+170 = 540

10x = 540-170

10x = 370

x = 37°

Hence,

∠H = ∠K = 2(37) = 74°,

∠M = ∠L= (3×37)+14 = 111+14 = 125°

lol please help me i really don’t get this

Answers

Answer:

If y is inversely proportional to x then y is 3

PLEASE HELP I WILL CHOOSE BRAINLIEST!

Answers

Answer:

x=9

Step-by-step explanation:

Use the triangle Similarity theorem. First, make a proportion.

--------------------------------------------------------------------------------------------

21 / 77 is equal to 30 / 11x + 11         then solve.

Step 1: Cross-multiply.

21*(11x+11)=(30)*(77)

231x+231=2310

Step 2: Subtract 231 from both sides.

231x+231−231=2310−231

231x=2079

x=9

HOPE THIS HELPS!

Dionne can fold 175 packing boxes in 50 minutes. Elias can fold 120 packing boxes in 40 minutes. Use unit rates to find how much time it will take each person to fold 210 packing boxes. Drag the numbers to explain and show your answer. Numbers may be used once or not at all.

Answers

Answer:

Dionne can fold 210 packing boxes in 60 minutes

Elia can fold 210 packing boxes in 70 minutes

Step-by-step explanation:

Dionne:

175 packing boxes in 50 minutes

Boxes folded per minute = Total packing boxes / number of minutes

= 175/50

= 3.5 packing boxes per minute

Number of minutes to fold 210 packing boxes = Total packing boxes / boxes packed per minute

= 210/3.5

= 60 minutes

Dionne can fold 210 packing boxes in 60 minutes

Elias:

120 packing boxes in 40 minutes

Boxes folded per minute = Total packing boxes / number of minutes

= 120/40

= 3 packing boxes per minute

Number of minutes to fold 210 packing boxes = Total packing boxes / boxes packed per minute

= 210/3

= 70 minutes

Elia can fold 210 packing boxes in 70 minutes

A cylinder has a radius of 5 cm and a height of 8 cm. What is the volume of the cylinder in terms of π?

Answers

Answer:

The answer to the question is 80π

A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)

Answers

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Given the following data set 2,3,1,6,1,1,1,0,2,4,5,1,2,2,3
Mean
Median
Range
Mid range

Answers

Answer:

mean: 34/15=2.27

median: 2

range: highest-lowest...... 6-0=6

mid range: high + low divided by 2

6+0=6/2=3

Answer:

Mean: 2.27

Median: 2

Range: 6

Mid-range: 3

Step-by-step explanation:

The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.

2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34

There are 15 numbers in this data set.

34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)

2.27 is the mean.

-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The median is 2.

--------------------------------------------------------------------------------------------------------------

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The range is the smallest number subtracted from the largest number.

6 - 0 = 6

6 is the range.

--------------------------------------------------------------------------------------------------------------

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The formula for mid-range is:

Maximum value + largest value ÷ 2.

The largest value is 6.

The minimum value is 0.

6 + 0 = 6

6 ÷ 2 = 3.

The mid-range is 3.

Answer this please i am stuck

Answers

Answer:

no one knows i think

Step-by-step explanation:

Answer:

junkijunki

Step-by-step explanation:

...help me pls with this work i'm timed

Answers

Answer:

10 cm

Step-by-step explanation:

multiply first 4×2 which is Base. then multiply by 1 1/4 which is 10

A trampoline is on sale for 50% off. What was the original price if the sale price is $31?

Answers

Answer:

$62

Step-by-step explanation:

Hello it's $62 because 31 x 2 = 62 and it was half off so that is why its $62

Answer:

The original price is 62 dollars.

a record impact books at a rate of 48 books every 2 minutes how many minutes do the worker need to unpack 168 books?​

Answers

Answer:

7minutes

Step-by-step explanation:

so if 48 books are sorted in 120 seconds what about 168 books if you cross multiply you will get 420 seconds which converted to minutes is 7

The area of a rectangular carpet is 96 square feet. The length of the carpet is 12 feet. What is the width of the carpet?

A. 8 feet
B. 12 feet
C. 24 feet
D. 36 feet

Answers

Answer:

A. 8 feet

Step-by-step explanation:

96 = 12 (x)

96/12 = x

8 = x

Find the measurements of side bc
44.95
19.73
39.82
40.31

Answers

Answer:

Option B

Step-by-step explanation:

By applying cosine rule in the given triangle ABC,

BC² = AC² + AB² - 2(AC)(AB)cos(∠A)

BC² = (26)² + (23)² - 2(26)(23)cos(47°)

BC² = 676 + 529 - 815.67

BC² = 389.33

BC = √(389.33)

BC = 19.73

Therefore, Option B will be the correct option.

The distance between two cities is 4000 kilometers. One kilometer is 6 10 millimeters. What is the distance between the two cities in millimeters?

Answers

Answer: 4,000,000,000 mm

Step-by-step explanation:

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

The distance between the two cities in millimetres of 4,000,000,000 mm

What is a distance?

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

We know that:-

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

Therefore the distance between the two cities in millimetres of 4,000,000,000 mm

To know more about distance follow

https://brainly.com/question/2854969

#SPJ2

Todd can run 1/2 a mile in 1/12 of an hour. what is todd’s rate in miles per hour?

Answers

If he runs 1/2 a mile in 5 minutes then 60 minutes would be 5x12 and 1/2x12 would be 6 so he can run 6 miles per hour

Answer:

Step-by-step explanation:

(1/2 mile)/(1/12 hour) = 12/2 = 1 mph

 

How long it takes someone to walk a trail depends on the length of the trail, which you did not provide.  The formula is distance = rate*time, so time = distance/rate.  You know the rate = 1 mph

Peter says If you subtract 14 from my number and multiply the difference by -2​, the result is -44 What is Peters number?

Answers

Answer:

36

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Let the number be x, then

First subtract 14 from number x, then

x - 14

Now multiply difference by -2, results -44

(x - 14) × -2 = -44

By solving equation,

-2X + 28 = - 44

- 2X = -44 - 28

X = -72 ÷ -2

x = 36

So, Peter's number is 36.

(2x-4)^2 please solve with steps

Answers

Answer

what is the equation equal to

Step-by-step explanation:

If thats the only thing they give it is (2x-4)(2x-4)

Answer:

4x - 16

Step-by-step explanation:

2x x 2x = 4x (2x^2)

4 x 4 = 16 (4^2)

You had to distribute that ^2.

Keep the SUBTRACTION sign.

therefore your answer is:

4x - 16

which expression has the approximate value between 6 and 7 clear the all the apply.
a.√36
b.√38
c.√42
d.√50​
please someone help me

Answers

i think it is a :))))) i’m not very sure i would get a second opinion

The expression has the approximate value between 6 and 7 will be √42 which is 6.48.

What is square root?

When the original integer is multiplied by itself, the result is a square root. The result generated when a quantity multiplies itself is known as the number of the square.

The expression has the approximate value between 6 and 7 clear the all the apply.

a. √36 = 6

b. √38 = 6.16

c. √42 = 6.48

d. √50​ = 7.07

The expression has the approximate value between 6 and 7 will be √42 which is 6.48.

Then the correct option is C.

More about the square root link is given below.

https://brainly.com/question/3120622

#SPJ5

Shannon has 68 more rubber bands than Ellen. Ellen has r rubber bands. Write an expression
that shows how many rubber bands Shannon has.

Answers

68 + r

you know that shannon has 68 more, and they straight up give you the variable for ellen

HELP ILL GIVE BRAINLIEST PLEASE I NEED TO PASS MY TEST

What kind of reflection do you need
to perform to reflect a point from
the first quadrant to the second
quadrant?

Answers

You need a reflection across the y-axis!

Reflection across Y axis

mel randomly selects a coin 150 times of which she selects a dime 30 times

Answers

Answer:

Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.

hope this helps

have a good day :)

Step-by-step explanation:

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